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Proof step 2 from proof cast-one (previous step)

⊦ cast(1, j) = 0, cast(1, j) = ~1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ cast(i, j) = bits2int(lastn(i→n(i), fillsgn(i→n(i), int2bits(j))))
Proof step 4:
⊦ bits2int(lastn(i→n(1), fillsgn(i→n(1), int2bits(j)))) = 0, bits2int(lastn(i→n(1), fillsgn(i→n(1), int2bits(j)))) = ~1

Rule argument

name: cast-def rotate: F subst: [j, i] → [j, 1]

Additional information

Used terms: j, 1